Adding and Subtracting
Multiplying
Dividing
Factoring Higher Order
Random
100
(4a-a^3-3)+(2a^3-5a^2+8)
a^3-5a^2+4a+5
100
(4x-3)^2
16x^2-24x+9
100
(2x^4-5x^3-14x^2+47x-30)/(x-2)
2x^3-x^2-16x+15
100
Factor completely: -2x^3+10x^2-8x
-2x(x-4)(x-1)
100
If C=x-9x^2 and D=-x+3 , find an expression that equals 3C-D in standard form.
-27x^2+4x-3
200
(a^2-3ab+2b^2)+(-4a^2+5ab-b^2)
-3a^2+2ab+b^2
200
Find the product
(2x^2-x-3)(x+4)
2x^3+7x^2-7x-12
200
Divide
(2x^3+5x-1)-:(x+3)
2x^2-6x+23-70/(x+3)
200
Factor completely:
7x^4-19x^2-6
(x^2-3)(7x^2+2)
200
Given P(x)=5x^4+6x^2-2x+3
Find the remainder when P(x) is divided by (x+2).
111
300
(4d-6d^3+3d^2)-(10d^3+7d-2)
-16d^3+3d^2-3d+2
300
Multiply
x(x+2y)(x+3y)
(x^3+5x^2y+6xy^2)
300
A rectangle has an area of (3x^3+5x^2+4x-2) and a width of (3x-1) . Find the length of the rectangle.
x^2+2x+2
300
Factor 64n^3-125
(4n-5)(16n^2+20n+25)
300
((2x^2+6x+10)+(x^2+5x-30))/(x+5)
3x-4
400
(4m^2-m+2)-(-3m^2+10m+4)
7m^2-11m-2
400
(2a^2+5a+3)(a^2-3a-4)
2a^4-a^3-20a^2-29a-12
400
Given P(x)=2x^3+3x^2+kx-6 .
Find k if (x+3) is a factor of P(x) .
-11
400
Factor completely:
4x^3+24x^2-9x-54
(x+6)(2x-3)(2x+3)
400
The diagram of a backyard shows a rectangular pool surrounded by turf. What is the area of the turf in the backyard?
6x^2-9
500
The polynomials (4x-3y) and (2x+y) represent the lengths of two sides of a triangle. The perimeter of the triangle is (9x+2). Determine the length of the third side.
3x+2y+2
500
Multiply and simplify:
(a+b)(a-2b)-(a+2b)(a-b)
-2ab
500
Divide: (2x^5+3x^4-2x^2+5x-1) by (x^2+2x+1)
2x^3-x^2-1+(7x)/(x^2+2x+1)
500
Factor completely:
-4x^3+10x^2+36x-90
-2(2x-5)(x+3)(x-3)
500
Factor Completely:
x^5-4x^3+27x^2-108
(x+2)(x-2)(x+3)(x^2-3x+9)